Non-emptiness of the fuzzy core in a finite production economy with infinite-dimensional commodity space

In this paper, we prove the non-emptiness of the fuzzy core in a finite coalition production economy under some standard assumptions which generalizes the results by Boehm [Rev Econ Stud (1974) 41: 429-436] and Predtetchinski [Economic Theory (2005) 26: 717-724], where we allow the utility functions...

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Bibliographic Details
Published in:Fuzzy sets and systems 2022-10, Vol.447, p.123-136
Main Author: Liu, Jiuqiang
Format: Article
Language:English
Subjects:
Coalition production economy
Competitive equilibrium
Cores
Exchange economy
Fuzzy cores
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Summary:In this paper, we prove the non-emptiness of the fuzzy core in a finite coalition production economy under some standard assumptions which generalizes the results by Boehm [Rev Econ Stud (1974) 41: 429-436] and Predtetchinski [Economic Theory (2005) 26: 717-724], where we allow the utility functions to be possibly discontinuous. We also derive the non-emptiness of α-cores for production economies with possibly discontinuous payoff functions which implies the well-known α-core existence theorem by Scarf [Journal of Economic Theory (1971) 3: 169-181], and derive the non-emptiness of fuzzy α-cores for production economies with continuous payoff functions.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2022.02.008